PRP Records

Probable Primes Top 10000

(301421 PRPs in the top)


What is a PRP ?

A PRP is a probable prime number, a number that nobody knows how to prove or disprove its primality.
Here are some criterions that can be used to recognize these numbers :

- N does not have any prime factor up to 2^32.
- N cannot be trivially written into a product.
- Take 3 square-free consecutive bases such that (b1/N)=(b2/N)=(b3/N)= -1. N should be such that b1^((N-1)/2)=b2^((N-1)/2)=b3^((N-1)/2)= -1 (mod N).
- Take a prime base such that (b/N)= -1 and b<>b1<>b2<>b3. N should pass the strong test in base b.
- or more (if someone has got an idea) !!!


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1-250   251-500   501-750   751-1000   1001-1250   1251-1500   1501-1750   1751-2000   
2001-2250   2251-2500   2501-2750   2751-3000   3001-3250   3251-3500   3501-3750   3751-4000   
4001-4250   4251-4500   4501-4750   4751-5000   5001-5250   5251-5500   5501-5750   5751-6000   
6001-6250   6251-6500   6501-6750   6751-7000   7001-7250   7251-7500   7501-7750   7751-8000   
8001-8250   8251-8500   8501-8750   8751-9000   9001-9250   9251-9500   9501-9750   9751-10000   


Rank Probable prime Digits (> 50000) Who ? When ?
80012^346550+55249104322Stefano Morozzi11/2024
80022^346550+158655104322Stefano Morozzi11/2024
80032^346545+87885104321Stefano Morozzi11/2024
80042^346545+95105104321Stefano Morozzi11/2024
80052^346546+126763104321Stefano Morozzi11/2024
80062^346546+149397104321Stefano Morozzi11/2024
8007(8925^26569-1)/(8925^163-1)104320Ryan Propper11/2023
80082^346542+128005104320Stefano Morozzi11/2024
80092^346538+123507104319Stefano Morozzi11/2024
80102^346540+118251104319Stefano Morozzi11/2024
80112^346540+128965104319Stefano Morozzi11/2024
80122^346535+138485104318Stefano Morozzi11/2024
80132^346536+149013104318Stefano Morozzi11/2024
80142^346531+98801104317Stefano Morozzi11/2024
80152^346533+12035104317Stefano Morozzi11/2024
80192^346527-111817104316Enzo Doria05/2014
80186^134055+101104316Lelio R Paula11/2016
8016fibonacci(499147)-4104316Jon Grantham08/2023
80172^346529+101351104316Stefano Morozzi11/2024
80202^346524+81585104315Stefano Morozzi11/2024
80212^346524+184821104315Stefano Morozzi11/2024
80222^346525+41051104315Stefano Morozzi11/2024
80232^346525+61845104315Stefano Morozzi11/2024
80242^346521+47439104314Stefano Morozzi11/2024
80252^346522+34689104314Stefano Morozzi11/2024
80262^346519+24543104313Stefano Morozzi11/2024
80272^346519+75119104313Stefano Morozzi11/2024
803192105!4+8104312Robert Price09/2019
80282^346514+11023104312Stefano Morozzi11/2024
80292^346514+22009104312Stefano Morozzi11/2024
80302^346516+107031104312Stefano Morozzi11/2024
80322^346511+65675104311Stefano Morozzi11/2024
80332^346512+105345104311Stefano Morozzi11/2024
80342^346513+80387104311Stefano Morozzi11/2024
80352^346510+104955104310Stefano Morozzi11/2024
80362^346510+145347104310Stefano Morozzi11/2024
80372^346506+105537104309Stefano Morozzi11/2024
80382^346506+145353104309Stefano Morozzi11/2024
80392^346503+160109104308Stefano Morozzi11/2024
80402^346494+155215104306Stefano Morozzi11/2024
80412^346495+26243104306Stefano Morozzi11/2024
80422^346497+108749104306Stefano Morozzi11/2024
80432^346488+146631104304Stefano Morozzi11/2024
80442^346489+6035104304Stefano Morozzi11/2024
80452^346489+16389104304Stefano Morozzi11/2024
80462^346489+175959104304Stefano Morozzi11/2024
80472^346484+119491104303Stefano Morozzi11/2024
80482^346487+12125104303Stefano Morozzi11/2024
80492^346487+92103104303Stefano Morozzi11/2024
80502^346481+199815104302Stefano Morozzi11/2024
80512^346478+2335104301Stefano Morozzi11/2024
80522^346478+121773104301Stefano Morozzi11/2024
80532^346479+80703104301Stefano Morozzi11/2024
80542^346479+164693104301Stefano Morozzi11/2024
80552^346480+156951104301Stefano Morozzi11/2024
80562^346480+176247104301Stefano Morozzi11/2024
80572^346475+178953104300Stefano Morozzi11/2024
80582^346476+83935104300Stefano Morozzi11/2024
80592^346470+182623104298Stefano Morozzi11/2024
80602^346464+54007104297Stefano Morozzi11/2024
80612^346464+55287104297Stefano Morozzi11/2024
80622^346464+84411104297Stefano Morozzi11/2024
80632^346465+15905104297Stefano Morozzi11/2024
80642^346465+27797104297Stefano Morozzi11/2024
80652^346465+85815104297Stefano Morozzi11/2024
80662^346465+92787104297Stefano Morozzi11/2024
80672^346466+133369104297Stefano Morozzi11/2024
80682^346461+30591104296Stefano Morozzi11/2024
80692^346462+74067104296Stefano Morozzi11/2024
80702^346458+68947104295Stefano Morozzi11/2024
80712^346459+39333104295Stefano Morozzi11/2024
80722^346459+110355104295Stefano Morozzi11/2024
80732^346454+166035104294Stefano Morozzi11/2024
80742^346456+132385104294Stefano Morozzi11/2024
80752^346456+138727104294Stefano Morozzi11/2024
80762^346456+176767104294Stefano Morozzi11/2024
80772^346451+72969104293Stefano Morozzi11/2024
80782^346452+10441104293Stefano Morozzi11/2024
80792^346449+170595104292Stefano Morozzi11/2024
80802^346450+70143104292Stefano Morozzi11/2024
8081(7^123407-5^123407)/2104291Jon Grantham08/2023
80822^346445+194585104291Stefano Morozzi11/2024
80832^346447+13715104291Stefano Morozzi11/2024
80842^346447+188493104291Stefano Morozzi11/2024
80852^346441+43529104290Stefano Morozzi11/2024
80862^346441+105707104290Stefano Morozzi11/2024
80872^346443+97995104290Stefano Morozzi11/2024
80882^346438+125667104289Stefano Morozzi11/2024
80892^346438+173595104289Stefano Morozzi11/2024
80902^346434+155605104288Stefano Morozzi11/2024
80912^346435+110823104288Stefano Morozzi11/2024
80922^346435+139281104288Stefano Morozzi11/2024
80932^346431+2543104287Stefano Morozzi11/2024
80942^346432+177181104287Stefano Morozzi11/2024
80952^346433+35699104287Stefano Morozzi11/2024
80962^346433+108015104287Stefano Morozzi11/2024
80972^346429+100365104286Stefano Morozzi11/2024
80982^346424+104841104285Stefano Morozzi11/2024
80992^346425+136095104285Stefano Morozzi11/2024
81002^346425+184971104285Stefano Morozzi11/2024
81012^346426+74325104285Stefano Morozzi11/2024
81022^346427+30795104285Stefano Morozzi11/2024
81032^346421+42971104284Stefano Morozzi11/2024
81042^346421+82577104284Stefano Morozzi11/2024
81052^346423+142533104284Stefano Morozzi11/2024
81066^134013+163104283Lelio R Paula11/2016
81072^346414+165775104282Stefano Morozzi11/2024
810810^(2*52140+1)-10^52140-1104281Robert Price07/2023
81092^346411+106893104281Stefano Morozzi11/2024
81102^346412+157935104281Stefano Morozzi11/2024
81112^346413+117485104281Stefano Morozzi11/2024
81122^346408+8085104280Stefano Morozzi11/2024
81132^346408+24423104280Stefano Morozzi11/2024
81142^346409+145047104280Stefano Morozzi11/2024
81152^346410+172533104280Stefano Morozzi11/2024
81162^346406+58417104279Stefano Morozzi11/2024
81172^346406+198315104279Stefano Morozzi11/2024
81182^346407+172509104279Stefano Morozzi11/2024
81192^346401+180129104278Stefano Morozzi11/2024
81202^346402+16897104278Stefano Morozzi11/2024
81212^346402+114829104278Stefano Morozzi11/2024
81222^346398+91623104277Stefano Morozzi11/2024
81232^346398+117369104277Stefano Morozzi11/2024
81242^346400+100141104277Stefano Morozzi11/2024
81252^346400+183625104277Stefano Morozzi11/2024
81262^346395+87281104276Stefano Morozzi11/2024
81272^346391+28833104275Stefano Morozzi11/2024
81282^346392+33715104275Stefano Morozzi11/2024
81292^346392+37507104275Stefano Morozzi11/2024
81302^346392+197617104275Stefano Morozzi11/2024
81312^346393+45929104275Stefano Morozzi11/2024
81322^346388+27223104274Stefano Morozzi11/2024
81332^346388+29187104274Stefano Morozzi11/2024
81342^346388+114657104274Stefano Morozzi11/2024
81352^346388+158667104274Stefano Morozzi11/2024
8136(22*10^104272-61)/3104273Robert Price03/2022
81372^346385+150947104273Stefano Morozzi11/2024
81382^346385+179309104273Stefano Morozzi11/2024
81392^346387+80549104273Stefano Morozzi11/2024
81402^346387+90309104273Stefano Morozzi11/2024
81412^346387+157473104273Stefano Morozzi11/2024
81422^346381+67497104272Stefano Morozzi11/2024
81432^346379+72419104271Stefano Morozzi11/2024
81442^346379+118811104271Stefano Morozzi11/2024
81452^346377+97379104270Stefano Morozzi11/2024
81462^346371+144159104269Stefano Morozzi11/2024
81472^346371+167213104269Stefano Morozzi11/2024
81482^346373+31301104269Stefano Morozzi11/2024
81492^346373+103665104269Stefano Morozzi11/2024
81502^346368+19155104268Stefano Morozzi11/2024
81512^346370+10107104268Stefano Morozzi11/2024
81522^346370+38649104268Stefano Morozzi11/2024
81532^346365+8411104267Stefano Morozzi11/2024
81542^346367+6735104267Stefano Morozzi11/2024
81552^346367+140303104267Stefano Morozzi11/2024
81562^346361+17507104266Stefano Morozzi11/2024
81572^346361+46401104266Stefano Morozzi11/2024
81582^346361+64875104266Stefano Morozzi11/2024
81592^346364+182271104266Stefano Morozzi11/2024
81602^346360+33403104265Stefano Morozzi11/2024
81612^346355+7121104264Stefano Morozzi11/2024
81622^346356+128607104264Stefano Morozzi11/2024
81632^346356+152841104264Stefano Morozzi11/2024
81642^346351+12735104263Stefano Morozzi11/2024
81652^346354+12247104263Stefano Morozzi11/2024
81662^346354+93177104263Stefano Morozzi11/2024
81672^346354+152067104263Stefano Morozzi11/2024
81682^346348+55023104262Stefano Morozzi11/2024
81692^346349+92945104262Stefano Morozzi11/2024
81702^346350+124873104262Stefano Morozzi11/2024
81712^346350+141253104262Stefano Morozzi11/2024
81722^346345+36681104261Stefano Morozzi11/2024
81732^346346+142767104261Stefano Morozzi11/2024
81742^346331+13743104257Stefano Morozzi11/2024
81752^346333+100331104257Stefano Morozzi11/2024
81762^346333+157209104257Stefano Morozzi11/2024
81772^346330+186837104256Stefano Morozzi11/2024
81782^346325+144891104255Stefano Morozzi11/2024
81792^346326+148237104255Stefano Morozzi11/2024
81802^346321+5877104254Stefano Morozzi11/2024
81812^346323+35999104254Stefano Morozzi11/2024
81822^346323+133109104254Stefano Morozzi11/2024
81832^346318+50695104253Stefano Morozzi11/2024
81842^346319+78975104253Stefano Morozzi11/2024
8189(2^346318+862)/2104252Stefano Morozzi02/2021
81852^346315+46235104252Stefano Morozzi11/2024
81862^346316+84571104252Stefano Morozzi11/2024
81872^346316+168015104252Stefano Morozzi11/2024
81882^346317+431104252Stefano Morozzi11/2024
819718^83049-89104250Lelio R Paula01/2017
8196(2^346311+606)/2104250Stefano Morozzi09/2020
81902^346308+92347104250Stefano Morozzi11/2024
81912^346308+182521104250Stefano Morozzi11/2024
81922^346309+128897104250Stefano Morozzi11/2024
81932^346309+184955104250Stefano Morozzi11/2024
81942^346310+303104250Stefano Morozzi11/2024
81952^346311+32693104250Stefano Morozzi11/2024
81982^346305+165741104249Stefano Morozzi11/2024
81992^346302+75075104248Stefano Morozzi11/2024
82002^346304+33411104248Stefano Morozzi11/2024
82012^346298+147849104247Stefano Morozzi11/2024
82022^346300+144855104247Stefano Morozzi11/2024
82032^346296+44865104246Stefano Morozzi11/2024
82042^346297+116291104246Stefano Morozzi11/2024
82052^346297+142667104246Stefano Morozzi11/2024
82062^346293+39285104245Stefano Morozzi11/2024
82072^346293+58929104245Stefano Morozzi11/2024
82082^346294+151075104245Stefano Morozzi11/2024
82092^346290+162153104244Stefano Morozzi11/2024
82102^346286+139935104243Stefano Morozzi11/2024
82112^346282+184705104242Stefano Morozzi11/2024
82122^346283+116913104242Stefano Morozzi11/2024
82132^346284+118191104242Stefano Morozzi11/2024
82142^346284+186595104242Stefano Morozzi11/2024
82152^346279+29591104241Stefano Morozzi11/2024
82162^346279+122385104241Stefano Morozzi11/2024
82172^346280+18925104241Stefano Morozzi11/2024
82182^346281+69725104241Stefano Morozzi11/2024
82192^346281+156401104241Stefano Morozzi11/2024
82202^346275+182519104240Stefano Morozzi11/2024
82212^346276+14101104240Stefano Morozzi11/2024
82222^346276+189937104240Stefano Morozzi11/2024
82232^346273+121425104239Stefano Morozzi11/2024
82242^346274+72363104239Stefano Morozzi11/2024
82252^346274+92047104239Stefano Morozzi11/2024
82262^346268+44233104238Stefano Morozzi11/2024
82272^346270+19539104238Stefano Morozzi11/2024
82282^346265+133877104237Stefano Morozzi11/2024
82292^346267+64613104237Stefano Morozzi11/2024
82302^346267+70461104237Stefano Morozzi11/2024
82312^346267+118715104237Stefano Morozzi11/2024
82322^346263+110721104236Stefano Morozzi11/2024
82332^346263+165009104236Stefano Morozzi11/2024
82342^346264+50481104236Stefano Morozzi11/2024
82352^346264+134047104236Stefano Morozzi11/2024
82362^346264+179617104236Stefano Morozzi11/2024
82372^346260+176391104235Stefano Morozzi11/2024
82382^346256+36111104234Stefano Morozzi11/2024
82392^346254+52299104233Stefano Morozzi11/2024
8245(166*10^104230+11)/3104232Robert Price03/2021
82402^346248+3075104232Stefano Morozzi11/2024
82412^346248+39081104232Stefano Morozzi11/2024
82422^346249+38339104232Stefano Morozzi11/2024
82432^346251+32831104232Stefano Morozzi11/2024
82442^346251+116175104232Stefano Morozzi11/2024
82462^346247+197309104231Stefano Morozzi11/2024
82472^346245+95429104231Stefano Morozzi11/2024
82482^346243+58163104230Stefano Morozzi11/2024
82492^346243+130931104230Stefano Morozzi11/2024
82502^346244+10381104230Stefano Morozzi11/2024


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: May, 19 2025 12:52 (Time in France)

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